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Finding the Fourth Proportional to 10,962.50, 16,443.81 and 2,754.50

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Solution

The fourth proportional to 10,962.50, 16,443.81 and 2,754.50 is: 4,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.50 : 16,443.81 = 2,754.50 : x
  2. Step 2: Convert to fraction form
    10,962.50/16,443.81 = 2,754.50/x
  3. Step 3: Cross multiply
    10,962.50x = 16,443.81 × 2,754.50
  4. Step 4: Simplify right side
    10,962.50x = 45,294,474.65
  5. Step 5: Solve for x
    x = 45,294,474.65/10,962.50
  6. Step 6: Final answer
    x = 4,131.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.